Chern characters via connections up to homotopy

Marius Crainic

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Chern characters via connections up to homotopy

Marius Crainic

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Abstract

The aim of this note is to point out that Chern characters can be computed using curvatures o ``super-connections up to homotopy'. We also present an application to the vanishing theorem for Lie algebroids which is at the origin of new secondary classes of algebroids (Fernandes), hence, in particular, of Poisson manifolds.

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Marius Crainic. 2000-12-11. Chern characters via connections up to homotopy. https://arxiv.org/abs/math/0009229

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